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Finding the Third Proportional to 27,306 and 58,548

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Solution

The third proportional to 27,306 and 58,548 is: 125,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,306 : 58,548 = 58,548 : x
  2. Step 2: Convert to fraction form
    27,306/58,548 = 58,548/x
  3. Step 3: Cross multiply
    27,306x = 58,548 × 58,548
  4. Step 4: Simplify right side
    27,306x = 3,427,868,304
  5. Step 5: Solve for x
    x = 3,427,868,304/27,306
  6. Step 6: Final answer
    x = 125,535.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.